Extended Exp(−(ξ))-Expansion Method for Solving the Generalized Hirota - Satsuma Coupled KdV System

Mostafa M. A. Khater

Authors

Mostafa M. A. Khater

the generalized hirota-satsuma coupled KdV system, the extended exp((_))- expansion method, traveling wave solutions, solitary wave solutions, ki

Abstract

In this research, The exact traveling wave solutions of the generalized Hirota-Satsuma couple KdV system is obtained as the first time in the framework of the extended exp( −ϕ(ξ ))-expansion method. When these parameters are taken special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the extended exp( −ϕ(ξ ))-expansion method give a wide range of solutions and it provides an effective and a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. Comparison between our results and the well-known results will be presented.

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How to Cite

Extended Exp(−(ξ))-Expansion Method for Solving the Generalized Hirota - Satsuma Coupled KdV System. (2015). Global Journal of Science Frontier Research, 15(32), 13-21. https://journalofscience.org/index.php/GJSFR/article/view/

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